Question

Тело растянуло в воздухе пружину динамометра с силой 38,6 Н, а в спирте — с силой 3,6Н. Чему равен объём тела?

Answer 1

Ответ:

Fарх=F₁-F₂=38,6-3,6=35 Н

Fарх=ρgV ⇒ V=F/ρg=35/789·10=0,004 м³

Ответ: 0,004 м³

Объяснение:

Answer 2

Calculation of the Volume of the Object

To calculate the volume of the object, we need to use the principle of buoyancy. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

In this case, the object is submerged in alcohol, and we know the force exerted by the object in air (38.6 N) and in alcohol (3.6 N). By comparing these forces, we can determine the volume of the object.

Let's assume the volume of the object is V.

Applying Archimedes' Principle

According to Archimedes' principle, the buoyant force in alcohol is equal to the weight of the alcohol displaced by the object. The weight of the alcohol displaced can be calculated using the formula:

Weight of alcohol displaced = density of alcohol × volume of alcohol displaced × acceleration due to gravity

The buoyant force in alcohol is equal to the force exerted by the object in alcohol, which is 3.6 N.

Therefore, we can write the equation as:

3.6 N = density of alcohol × V × acceleration due to gravity

Comparing Forces in Air and Alcohol

The force exerted by the object in air is 38.6 N. This force is equal to the weight of the object, which can be calculated using the formula:

Weight of the object = mass of the object × acceleration due to gravity

Since the object is in equilibrium in air, the weight of the object is balanced by the force exerted by the spring of the dynamometer.

Therefore, we can write the equation as:

38.6 N = mass of the object × acceleration due to gravity

Solving the Equations

We have two equations:

1. 3.6 N = density of alcohol × V × acceleration due to gravity 2. 38.6 N = mass of the object × acceleration due to gravity

By comparing these equations, we can eliminate the acceleration due to gravity and solve for the volume of the object.

Using the given information, we can calculate the volume of the object. However, the density of alcohol is not provided, so we cannot determine the exact volume without that information.

Please provide the density of alcohol so that we can calculate the volume of the object accurately.